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Finding the Third Proportional to 466,524,038 and 1,002,282,517

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Solution

The third proportional to 466,524,038 and 1,002,282,517 is: 2,153,308,644.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,524,038 : 1,002,282,517 = 1,002,282,517 : x
  2. Step 2: Convert to fraction form
    466,524,038/1,002,282,517 = 1,002,282,517/x
  3. Step 3: Cross multiply
    466,524,038x = 1,002,282,517 × 1,002,282,517
  4. Step 4: Simplify right side
    466,524,038x = 1,004,570,243,883,855,232
  5. Step 5: Solve for x
    x = 1,004,570,243,883,855,232/466,524,038
  6. Step 6: Final answer
    x = 2,153,308,644.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.